Combining Texts

All the ideas for 'fragments/reports', 'Structuralism' and 'No Understanding without Explanation'

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7 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralism is now common, studying relations, with no regard for what the objects might be [Hellman]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Maybe mathematical objects only have structural roles, and no intrinsic nature [Hellman]
11. Knowledge Aims / A. Knowledge / 2. Understanding
Scientific understanding is always the grasping of a correct explanation [Strevens]
We may 'understand that' the cat is on the mat, but not at all 'understand why' it is there [Strevens]
Understanding is a precondition, comes in degrees, is active, and holistic - unlike explanation [Strevens]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]